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Finding the Third Proportional to 288,480.19 and 627,757.50

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Solution

The third proportional to 288,480.19 and 627,757.50 is: 1,366,053.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,480.19 : 627,757.50 = 627,757.50 : x
  2. Step 2: Convert to fraction form
    288,480.19/627,757.50 = 627,757.50/x
  3. Step 3: Cross multiply
    288,480.19x = 627,757.50 × 627,757.50
  4. Step 4: Simplify right side
    288,480.19x = 394,079,478,806.25
  5. Step 5: Solve for x
    x = 394,079,478,806.25/288,480.19
  6. Step 6: Final answer
    x = 1,366,053.88

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.